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AysviL [449]
2 years ago
10

Assume that automobile accidents at a dangerous intersection occur according to a Poisson process at the rate of 3 accidents per

week. Furthermore, the num- ber of people seriously injured in an accident has a Poisson distribution with mean 2 and is independent of the other accidents. Find the mean and standard deviation of the number of serious injuries over a one year's time.
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
4 0

Answer:

The mean number of serious injuries over a one year's time is of 104 and the standard deviation is of 10.2

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval. The standard deviation is the square root of the mean.

Find the mean and standard deviation of the number of serious injuries over a one year's time.

Per week, mean \mu = 2

A year has approximately 52 weeks, so, the mean is \mu = 2*52 = 104, and the standard deviation is \sqrt{104} = 10.2

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The table shows the prices of various grocery items what is the cost of three cans of chicken broth and two cans of vegetable so
Tamiku [17]

Answer:

what table add a picture of it!

Step-by-step explanation:

6 0
3 years ago
The mean length of 5 childrens' index finger is 5.6cm.
Brilliant_brown [7]

The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>

The given parameters are:

<u>Children</u>

Mean = 5.6 cm

Frequency = 5

<u>Adult</u>

Mean = 6.2 cm

Frequency = 3

The mean length of these 8 people's index finger is calculated as:

\bar x = \frac{\sum fx}{\sum f}

So, we have

Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)

Evaluate

Mean = 5.83

Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

Read more about mean at

brainly.com/question/20118982

#SPJ1

7 0
1 year ago
-x+ 2y = 10<br> -3x+By = 11
adoni [48]

Answer:

change the equation into one variable.

2 y equals 10 + x

y equals 5 + x by 2

now put that into the second equation

-3x + b parentheses 5 + x / 2 equals 11

-3x+b(5+ x/2)

-3x + b5 + bx/2 = 11

8 0
2 years ago
Read 2 more answers
Eurostar is a high-speed railway service connecting
erma4kov [3.2K]

Answer:

Step-by-step explanation:

This is simply a units conversion problem.  It gives us for the number of passengers, the number of seats per carriage and the number of carriages per train.  To change the units from passengers to trains without changing the value, we use the multiplicative identity (that is, 1).

350000 passengers

(350000 passengers) * 1

(350000 passengers) * ((1 carriage)/(32 passengers)) * ((1 train)/(15 carriages)

   [note:  passengers and carriages cancel. Leaving only trains]

(350000)*(1/32)*(1/15) trains       [note: I write this way to paste into MS Excel]

729.1667  trains                 [oh, but don’t just round this number either up or down]

   729 full trains can carry 729*32*15 = 349920 passengers

   730 full trains can carry 730*32*15 = 350400 passengers

Now, we can say that 730 trains are adequate to carry 350000 passengers.

6 0
3 years ago
What number is 33% of 1,000
horsena [70]
The correct answer is 330.
4 0
3 years ago
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